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4669732379664 = 24321121391928099
BaseRepresentation
bin100001111110100000110…
…1111010101110000010000
3121112102101200022200012200
41003331001233111300100
51103002102442122124
613533125003123200
7661243215210432
oct103750157256020
917472350280180
104669732379664
111540471209100
12635037b13500
1327b47a5cb951
14122032854652
158170cbc3bc9
hex43f41bd5c10

4669732379664 has 180 divisors, whose sum is σ = 14468192466000. Its totient is φ = 1404889326720.

The previous prime is 4669732379647. The next prime is 4669732379747.

4669732379664 is a `hidden beast` number, since 466 + 9 + 7 + 32 + 3 + 79 + 6 + 64 = 666.

4669732379664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4669732379592 and 4669732379601.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1457887 + ... + 3385985.

Almost surely, 24669732379664 is an apocalyptic number.

4669732379664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4669732379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234096233000).

4669732379664 is an abundant number, since it is smaller than the sum of its proper divisors (9798460086336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4669732379664 is a wasteful number, since it uses less digits than its factorization.

4669732379664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928274 (or 1928254 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 72.

The spelling of 4669732379664 in words is "four trillion, six hundred sixty-nine billion, seven hundred thirty-two million, three hundred seventy-nine thousand, six hundred sixty-four".